Nitsche's method combined with space-time finite elements for ALE fluid-structure interaction problems

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 39-41 SPEC. ISS., 2004, Pages 4195-4206

  Hansbo, Peter ^a   Hermansson, Joakim ^a   Svedberg, Thomas ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Fluid structure interactions; Nitsche's method; Space time finite elements

Indexed keywords

DISPLACEMENTS; LINEAR ELASTICITY; TIME-DISCRITIZATION;

COMPUTER SIMULATION; ENERGY CONSERVATION; FLUID STRUCTURE INTERACTION; GALERKIN METHODS; NEWTONIAN FLOW; PROBLEM SOLVING; VELOCITY;

FINITE ELEMENT METHOD;

FINITE ELEMENT METHOD; FLUID-STRUCTURE INTERACTION; NEWTONIAN FLUID;

EID: 4444257791     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.09.029     Document Type: Article

References (18)

1. Alonso A. Dello Russo A. Otero-Souto C. Padra C. Rodríguez R. An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids Comput. Visual Sci. 4 2001 67-78
2. Becker R. Hansbo P. Stenberg R. A finite element method for domain decomposition with non-matching grids M2AN Math. Model. Numer. Anal. 37 2003 209-225
3. Brezzi F. Fortin M. Mixed and Hybrid Finite Element Methods 1991 Springer Berlin
4. Casadei F. Halleux J.P. Sala A. Chillè F. Transient fluid-structure interaction algorithms for large industrial applications Comput. Methods Appl. Mech. Engrg. 190 2001 3081-3110
5. Farhat C. Lesoinne M. LeTallec P. Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: momentum and energy conservation, optimal discretization and application to aeroelasticity Comput. Methods Appl. Mech. Engrg. 157 1998 95-114
6. A. Hansbo, P. Hansbo, A finite element method for the simulation of strong and weak discontinuities in solid mechanics, Comput. Methods Appl. Mech. Engrg., accepted for publication
7. Hansbo P. The characteristic streamline diffusion method for the time-dependent incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Engrg. 99 1992 171-186
8. Hansbo P. A Crank-Nicolson type space-time finite element method for computing on moving meshes J. Comput. Phys. 159 2000 274-289
9. Hansbo P. A note on energy conservation for Hamiltonian systems using continuous time finite elements Commun. Numer. Methods Engrg. 17 2001 863-869
10. Hansbo P. Hermansson J. Nitsches method for coupling non-matching meshes in fluid-structure vibration problems Comput. Mech. 32 2003 134-139
11. Hermansson J. Hansbo P. A variable diffusion method for mesh smoothing Commun. Numer. Methods Engrg. 19 2003 897-908
12. Kuhl E. Hulshoff S. de Borst R. An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena Internat. J. Numer. Methods Engrg. 57 2003 117-142
13. Matthies H.G. Steindorf J. Partitioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction Comput. Struct. 80 2002 1991-1999
14. Nitsche J. Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind Abh. Math. Univ. Hamburg 36 1971 9-15
15. Park K.C. Felippa C.A. Ohayon R. Partitioned formulation of internal fluid-structure interaction problems by localized Lagrange multipliers Comput. Methods Appl. Mech. Engrg. 190 2001 2989-3007
16. Ramaswamy B. Numerical simulation of unsteady viscous free surface flow J. Comput. Phys. 90 1990 396-430
17. Mittal S. Tezduyar T.E. Notes on the stabilized space-time finite-element formulation of unsteady incompressible flows Comput. Phys. Commun. 73 1992 93-112
18. van der Vegt J.J.W. van der Ven H. Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I. General formulation J. Comput. Phys. 182 2002 546-585